An alternative method for the calculation of Chandrasekhar’s H-function and its derivative

Anlı, F.; Öztürk, Hakan

doi:10.1016/j.jqsrt.2021.107764

Cited by 2 publications

(1 citation statement)

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“…It is common to find the limit of a function in the limit of a composite function. Like the derivation of a composite function is often transformed into the derivation of a simple function using the law of derivation of composite functions, the limit of a composite function is often transformed into the limit of a simple function [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

A method for solving the limit of multivariate composite functions

Liang,

Wang

2024

Applied Mathematics and Nonlinear Sciences

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In this paper, according to the concept of multivariate composite function, the limit and continuity conditions of multivariate composite function are given, and the continuity relationship between the inner function and the outer function of the composite function at the same point is investigated. The relationship between the limit and continuity of a composite function composed of two functions at the same point is investigated by examples, while some limit results are explained from the perspective of composite functions, and the limit calculation law of multivariate composite functions is proposed. Using the consistent central limit theorem in the limit calculation law, the absolute value and limit of the interval of the multivariate composite function are obtained, and the iterative limit of the variational reduction approximation method is confirmed by combining the absolute value and limit of the interval of the multivariate composite function. On the basis of the application of limit operation of a multivariate composite function, the limit distribution of high-dimensional likelihood ratio statistics of multivariate composite function is analyzed by using data simulation analysis. The results show that both limit distributions have better simulation results when p are small, such as p = 5 or p = 10, but the traditional limit is better than the normal limit, indicating that the results of multivariate composite function limit calculations have good accuracy. A method for solving the limits of multivariate composite functions is proposed in this study, which is of great theoretical and practical significance in the study of higher mathematics.

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Section: Introductionmentioning

confidence: 99%